Question

A man completed a journey of 42 miles by bus, train, and car. The distance travelled

by train was three times that by bus and the distance travelled by car twice that by

bus. What was the distance travelled by each means of travelling?
​

Answer 1

Total distance covered by the man = 42 miles

Let the distance travelled by the man via bus be = (x) miles

∴ Distance travelled by car = (2x) miles

& Distance travelled by train = (3x) miles

According to the Question,

x + 2x + 3x = 42

⟹ 6x = 42

⟹ x = 42/6

⟹ x = 7

∴ Distance travelled by:-

• bus = 7 miles,
• car = 2 × 7 = 14 miles, &
• train = 3 × 7 = 21 miles.

@Psyclone