A person can cover a distance between A and B at a speed of 45 km hr On the return journey he covers...........

Quantitative Aptitude(IBPS CL) Time & distance

A person can cover a distance between A and B at a speed of 45 km/hr. On the return journey, he covers 180 km with 30 km/hr, and after that, he takes a different route on the return journey which increases his total distance by 15 km. If the speed of the car on the extended route is 60 km/hr. If it takes 90 min more while returning then find the distance between A and B.

This questions was previously asked in

IBPS Clerk Main (8th Oct 2022)

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310 km

315 km

320 km

325 km

330 km

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Explanation:

Correct option : 2 - 315

While traveling from A to B speed = 45 km/hr On return journey 180 km with 30 km/hr.
On new route the distance is increased by 15 km.
Speed of the car on the extended route = 60 km/hr
Return journey time = 90 min + forward journey time Calculation:
Let the total distance from A to B = D km
Time taken by person in the forward journey = D/45
ATQ, D/45 + 90/60 180/30+ (D+ 15 - 180)/60
D/45-D/606-1.5-2.75
(4D-3D)/180 = 1.75
⇒ D = 315 km
Hence, the correct answer is 315 km.