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The distance between Kanpur and Allahabad is 200 km, a bus started from Kanpur towards Allahabad with speed 20% less than its original speed. After travelling to a certain distance, it increases its speed by 60% from its original speed in order to reach Allahabad on time. For how long the bus travelled with increased speed?

The distance between Kanpur and Allahabad is 200 km, a bus started from Kanpur towards Allahabad with speed 20% less than its original speed. After travelling to a certain distance, it increases its speed by 60% from its original speed in order to reach Allahabad on time. For how long the bus travelled with increased speed? Correct Answer 80 km

Given:

The distance between Kanpur and Allahabad is 200 km

The bus started from Kanpur towards Allahabad with speed 20% less than its original speed

It increases its speed by 60% from its original speed in order to reach Allahabad on time

Formula Used:

Distance = Speed × Time 

Calculation:

Let the original speed of the bus be 100x.

Decreased speed = 80% of 100x = 80x

After increase, speed = 160% of 100x = 160x

Let the bus travelled for ‘D’ km with increased speed.

According to the question:

+ = 200/100x

⇒ (200 – D) + D = 2 × 160

⇒ 400 – 2D + D = 320

⇒ D = 80

Hence, for 80 km, the bus travelled with increased speed.

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