Question

Car A is $20$ miles behind Car B, which is travelling in the same direction along the same route as Car A. Car A is travelling at a constant speed of $58$ miles per hour and Car B is travelling at a constant speed of $50$ miles per hour. How many hours will it take for Car A to overtake and drive $8$ miles ahead of Car B ?

• A. $1.5$
• B. $2.0$
• C. $2.5$
• D. $3.0$
• E. $3.5$

Answer 1

Answer: (E)

$3.5$

Let us assume that Car $A$ takes $T$ time to overtake and drive 8 miles ahead of Car $B$

Now, Distance Travelled by Car $B$ in Time $T=50\ast T$ and Distance Travelled by Car $A$ in Time $T=58\ast T$

$A$ must cover 28 km more than $B$ for Overtaking by 8 miles as Initially $A$ is 20 miles behind $B.$

$\Rightarrow 58T-50T=28$

$\Rightarrow 8T=28$

$\Rightarrow T=3.5$

Therefore Answer is $\left(E\right)$