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A distance of 360 km needs to be traveled in 5 hours. A person started traveling with a certain speed and after 2 hours he increased his speed by 33(1/3)% to reach the destination in time, then after traveling for how long the person increases his speed?

A distance of 360 km needs to be traveled in 5 hours. A person started traveling with a certain speed and after 2 hours he increased his speed by 33(1/3)% to reach the destination in time, then after traveling for how long the person increases his speed? Correct Answer 120 km

Let the speed of the person be 3x.

Increased speed = 133(1/3)% of 3x = 4x

Total distance = (3x × 2) + (4x × 3) = 360

6x + 12x = 360

18x = 360

x = 20

Hence, required distance travelled after which the person increases his speed = (3x × 2) = 6x

= 120 km

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