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Ram covers a distance of 410 km from Lucknow to Bareilly on his KTM bike, at an average speed of 82 kmph. Sofy covers a same distance by her car, and start 1.5 hour after Ram starts and reaches Bareilly half an hour late. What is the ratio of the time taken by Ram on his bike to Sofy going by her car?
1. 5 ∶ 4
2. 1 ∶ 2
3. 4 ∶ 5
4. 2 ∶ 1

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Correct Answer - Option 1 : 5 ∶ 4

Given

Total distance = 410 km

Ram’s speed = 82 km / h

Sofy’s starts 1.5 hour later and reaches half an hour later.

Formula Used

Time = Distance / Speed

Calculation

Time taken by Ram = Distance / Speed

⇒ 410 / 82

⇒ 5hrs

Time taken by Sofy = (5 – 1.5) + 0.5

⇒ 3.5 + 0.5

⇒ 4 hrs

∴ The required ratio is 5 ∶ 4.

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