Two buses start from the opposite points of a main road, 150 km apart. The first bus runs for 25 km and takes a right turn and then runs for 15 km. It then turns left and runs for another 25 km and takes the direction back to reach the main road. In the meantime, due to a minor break down, the other bus has run only 35 km along the main road. What would be the distance between the two buses at this point ?

Options

A. 65 km
B. 75 km
C. 80 km
D. 85 km

Answer

A

Explanation

Let x and y be two buses.
The journey of the bus x is as shown in Fig.
i.e. A to P, P to Q, Q to R and R to S.
PS =QR=25 km
AS =AP + PS = 25 km + 25 km = 50 km

So, the journey of the Bus x = AS = 50 km
Also, Busy travels 35 km upto T.
Therefore, the required distance between two buses x andy = ST
= AB - (AS + BT) = [150 - (50 + 35)] km
= 65km