Question

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. Then it 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 breakdown, 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

• 65 km

• 75 km

• 80 km

• 85 km

Answer 1

65 km

Explanation:

Let M and N be two buses.
Bus M travels along the path

AP, PQ, QR, RS

Now, PS = QR = 25 km

So, AS = AP + AS = 50 km

Bus N travels 35 km upto 5.

Distance between two buses,

ST = AB -(AS + BT)

= [150 - (50 + 35)] = 65 km