CAT Time and Work — practice questions
90 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CAT Time and Work in the app →**Time and Work — formulas used here.**
- Work done in unit time. If a worker finishes a job in $m$ days, the**Time and Work — formulas used here.**
- Work done in unit time. If a worker finishes a job in $m$ days, the**Time and Work — formulas used here.**
- Work done in unit time. If a worker finishes a job in $m$ days, the**Time and Work — formulas used here.**
- Work done in unit time. If a worker finishes a job in $m$ days, the**Time and Work — formulas used here.**
- Work done in unit time. If a worker finishes a job in $m$ days, the**Time and Work — formulas used here.**
- Work done in unit time. If a worker finishes a job in $m$ days, theA can do a job in 8 days, B in 12 days. How long do A and B take working together?A finishes a job in 6 days, B in 4 days. Using the LCM trick (work = 12 units), what is B's daily rate?A, B, C complete jobs alone in 10, 12, 15 days. Working together, they finish in:Two pipes A and B fill a tank in 4 and 6 hours. A drain C empties it in 12 hours. With all three open, how lonA is twice as efficient as B. B alone finishes a job in 18 days. How long do A and B together take?20 workers can complete a project in 25 days. How long would 25 workers take to complete the same project?A pipe fills a tank in 4 hours. Due to a leak, it now takes 6 hours. The leak alone would empty a full tank inA and B together can do a job in 12 days. After working together for 4 days, A leaves. B finishes the remaininA is 50% more efficient than B. If B takes 30 days to complete a task alone, how many days does A take alone?As the number of workers on a job increases, the time taken to finish it:If 6 men finish a job in 10 days, how many days will 4 men take at the same rate?If 12 workers can complete a task in 8 days, 16 workers will complete it in:A can do a piece of work in 10 days and B in 15 days. Working together they finish it in:A and B together finish a job in 12 days. A alone takes 20 days. B alone would take:A is twice as fast as B. Working together they finish a job in 8 days. A alone would take:A pipe fills a tank in 6 hours while an outlet empties it in 8 hours. With both open the tank fills in:A can finish a job in 20 days. After working 5 days he leaves. The fraction of work left is:For a fixed amount of work, the product of the number of workers and the days taken is:Sugar costs 36 per kg. The cost of 3 kg is:A car travels 60 km on 4 litres of petrol. On 12 litres it will travel:Two quantities x and y are in direct proportion when:A child's age and the mother's age both increase together but are not in direct proportion because:5 metres of cloth cost 210. The cost of 10 metres is:A 14 m pole casts a 10 m shadow. A tree casting a 15 m shadow at the same time is:12 sheets of paper weigh 40 g. How many sheets weigh 2.5 kg?A train moves at a uniform 75 km per hour. In 20 minutes it covers:At 75 km per hour, the time to cover 250 km is:A map has scale 1 : 30000000. Two cities 4 cm apart on the map are actually apart by:Two quantities x and y are in inverse proportion when:Zaheeda doubles her speed by running instead of walking. Her time to reach school:A school has 6000 for maths books at 40 each. If the price rises to 50, the number of books falls from 150 to:When book price goes from 40 to 50, the ratio 4 : 5, the number of books changes in the ratio:6 pipes fill a tank in 1 hour 20 minutes. With 5 pipes the time is:A hostel has food for 100 students for 20 days. If 25 more join, it lasts:15 workers build a wall in 48 hours. To finish in 30 hours you need:Which pair is in inverse proportion?The angle turned by a clock's minute hand and the time passed are:A car takes 2 hours at 60 km/h. At 80 km/h the same trip takes:A box of sweets gives 24 children 5 each. With 4 fewer children, each gets:Simple interest at a fixed rate and time changes in direct proportion with the:In uniform motion problems, distance is found by multiplying rate by:A car goes 70 miles per hour for 3 hours. The distance covered is:For the distance formula, 90 minutes must be written as:An express train takes 4 hours and a local train 5 hours for the same trip, the express being 12 mph faster. TWith the local train at 48 mph and the express 12 mph faster, the express train runs at:Because both trains leave Pittsburgh for Washington, the equation comes from the fact that they travel the:Christopher and his parents live how many miles apart?Christopher drove 1.5 hours and his parents 1 hour to meet, with him 10 mph faster. His parents' speed was:If the parents drove at 40 mph and Christopher was 10 mph faster, his speed was:When two people drive toward each other, the equation is that their distances:Two trucks leave a rest area in opposite directions, one at 70 mph. They are 325 miles apart after:For trucks travelling in opposite directions, the distances travelled must:If the rate is in miles per hour, the time in the distance formula must be in:Katie Mae walks to school in 30 minutes and bikes it in 15 minutes. In hours these times are:Katie Mae is 3 mph faster on her bike than on foot. Her walking speed is:If Katie Mae walks at 3 mph and bikes 3 mph faster, her biking speed is:Katie Mae's home is how far from her school?Hamilton's trip to Las Vegas from Orange County covers:Hamilton left home at 2:00 pm and entered the desert at 4:30 pm, so he drove in the city for:Hamilton's rate in the desert was how many times his rate in the city?Hamilton drove 40 mph in the city and in the desert he drove:The first step in a distance, rate and time problem, after reading it, is to:Pete can paint a room in 10 hours. Working steadily, how much of the room does he paint in one hour?Alicia would take 8 hours to paint the same room alone. Her share of the job in one hour is:Pete needs 10 hours and Alicia 8 hours for the same room. Together their hourly share of the job is:Working together at those rates, Pete and Alicia paint the room in about:One gardener mows a golf course in 4 hours and another takes 6 hours. Together they finish in:Carrie can weed the garden in 7 hours and her mother in 3 hours. Together they take:Tom paints the den in 45 minutes and Bobby in 60 minutes. Together they need about:A job on Press #1 takes 6 hours. In one hour that press completes:With both presses running the job takes 4 hours. Press #1 alone takes 6 hours, so Press #2 alone takes:Corey shovels the snow in 4 hours. With his twin Casey they finish in 2 hours, so Casey alone would take:Two workers finish a job in exactly the same time each. If one alone takes 8 hours, together they take:Judy pilots her powerboat 5 miles into a 7 mph wind in the time she covers 12 miles with a 7 mph tailwind. HerHamilton rides 12 miles downhill, then back uphill at 8 mph slower, taking 2 hours longer. His downhill speed On that same ride, Hamilton's uphill speed works out to:Tony drives 4 hours in all, 208 miles on the interstate and 40 on country roads, going 15 mph faster on the inOn that drive, Tony's interstate speed was:A plane's ground speed with a tailwind of 30 mph, if the plane itself flies at 150 mph, is:Flying into that same 30 mph wind, the same plane's ground speed would be:In work problems, the parts of the job done by each worker in one hour add up to:Converting two fifths of an hour into minutes gives:A worker finishing in 5 hours and another in 20 hours together do what share of the job each hour?Those two workers, at that combined rate, finish the whole job in: