Aashutosh can cover a certain distance in 84 min by covering

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Aashutosh can cover a certain distance in 84 min by covering 2/3rd of distance at 4 km/h and the rest at 5 km/h. Find the total distance.

1. 6 km
2. 8 km
3. 9 km
4. 15 km

Correct Option: A

Let the total distance = L
Then, according to the question,
(2L/3)/ 4 + (1 - 2/3)L/5 = 84/60
⇒ 2L/12 + L/15 = 84/60
⇒ L/6 + L/15 = 84/60
⇒ 5L + 2L = 42
⇒ 7L = 42
∴ L = 42/7 = 6 km