In a car race, two-third of B's rate is equal to three-fourth of A's rate. If the distance is 1080 km and the speed of A is given as 120 kmph, how long would B take to finish the race?
A12 hrs
B9 hrs
C10 hrs
D8 hrs
Answer & Solution
Correct answer: D. 8 hrs
Given $\frac{2}{3}B=\frac{3}{4}A$ and $A=120$. So $B=\frac{3}{2}\cdot \frac{3}{4}\cdot 120=135$ km/hr. Time taken by B to cover $1080$ km is $\frac{1080}{135}=8$ hours. Hence option D is correct.
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