Question

The distance between A and B is 423 km. Allen and Joe start from A and B respectively at 11 a.m. towards each other. The speed of Allen is 35% more than that of Joe. At the point of meeting the difference between individual distances covered by both is?
1. 63 km
2. 56 km
3. 70 km
4. 68 km
5. 50 km

Answer 1

Correct Answer - Option 1 : 63 km

Given:

Distance = 423 km

Allen's speed = 135% of Joe's speed

Concept:

For an equal amount of time the distance traveled is directly proportional to speed.

Calculation:

Let Joe' speed = 100

Allen's speed = 135

Ratio = 20 : 27

Distance traveled should be in the same ratio,

∴ Total distance = 20 + 27 = 47 ratio 

A.T.Q

47 ratio = 423 km

Difference = 7 ratio = 423/47 × 7 = 63 km

∴ the difference is 63 km