A person travels from city A to city B. They cover 1/4 of the journey by car, 1/2 of the remaining journey by bus, and the rest 15 km by bike. What is the total distance between city A and city B?
Show answer & explanation
Correct answer: A
Explanation
Given:
1/4 of the journey by car
1/2 of the remainder by bus
The rest = 15 km (by bike)
According to the formula:
Total distance = x
Distance covered by car = x/4
Remaining distance = x − x/4 = 3x/4
Distance covered by bus = (1/2) × (3x/4) = 3x/8
Now, the remaining distance (by bike)
= 3x/4 − 3x/8
= 6x/8 − 3x/8
= 3x/8
As per the problem:
3x/8 = 15
x = 15 × 8 / 3
= 40 km