A motor starts with the speed of 70 kmph with its speed increasing every two hours by 10 kmph In how...........

Quantitative Aptitude ( CCS) Time & distance

A motor starts with the speed of 70 kmph with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms ?

2.25hours

4.50hours

4 hours 5 minutes

None of these

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Explanation:

Initial speed of motor = 70 kmph.
Distance covered in first 2 hours = 2 × 70 = 140 kms
For next two hours speed of motor = 80 kmph
∴ Distance covered in next 2 hours = 2 × 80 = 160 kms.
Distance covered in first 4 hours = 140 + 160 = 300
Remaining distance = 345 – 300 = 45 km
This distance will be covered at the speed of 90 kmph.
∴ Time taken = 45/90 = 0.5 hours
∴ Total time taken
= 4 + 0.5 = 4.50 hours