Question

A and B started at the same time from X towards Y at the speed of 30 kmph and 50 kmph respectively. If the distance (XY) is 150 km and B, after reaching Y, starts back towards X immediately, how far from X would A and B meet?

a) 60 km
b) 75 km
c) 80 km
d) 90 km

Answer 1

A and B will meet 90 km away from X.

Step-by-step explanation:

To find the distance from X where A and B meet, we need to compare their travel times. Since they started at the same time, we can use the formula: time = distance / speed. For A, the time taken is 150 km / 30 kmph = 5 hours. For B, the time taken to reach Y is 150 km / 50 kmph = 3 hours. Since B immediately starts back towards X, the time taken to meet A will be the same as the time taken to reach Y, which is 3 hours.

Given that the distance is 150 km, we can calculate the distance from X where A and B meet using the formula: distance = speed × time. For A, the distance covered in 3 hours is 30 kmph × 3 hours = 90 km. Therefore, A and B will meet 90 km away from X. Therefore, the correct answer is d) 90 km.