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By increasing his speed by 10km/hr, a person reduced his travel time from 40 minutes to 32 minutes. How much time does he take to cover 60 km with his new speed?A2.1 hrsB1.5 hrsC1.2 grsD5.1 hrs

Question

By increasing his speed by 10km/hr, a person reduced his travel time from 40 minutes to 32 minutes. How much time does he take to cover 60 km with his new speed?A2.1 hrsB1.5 hrsC1.2 grsD5.1 hrs

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Solution

First, let's find out the original speed of the person.

We know that speed = distance/time.

The time was reduced from 40 minutes to 32 minutes, which is a reduction of 8 minutes. This is equivalent to 8/60 = 0.133 hours.

So, the original time taken was 40 minutes, which is equivalent to 40/60 = 0.667 hours.

Let's assume the original speed was 'x' km/hr. So, we have the equation:

x = distance/time x = 10/0.667 x = 15 km/hr

The speed was then increased by 10 km/hr, so the new speed is 15 km/hr + 10 km/hr = 25 km/hr.

Now, we need to find out how much time he takes to cover 60 km with his new speed.

We use the formula time = distance/speed.

So, time = 60/25 = 2.4 hours.

Therefore, none of the options A, B, C, or D is correct. The person would take 2.4 hours to cover 60 km with his new speed.

This problem has been solved

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