A man can reach a certain place in 40 hours. If he reduces his speed by 1/15th, he goes 5km less in that time. Find the total distance covered by him.

A man can reach a certain place in 40 hours. If he reduces his speed by 1/15th, he goes 5km less in that time. Find the total distance covered by him. ?

Created: 1 year ago | Updated: 1 week ago | Created By:

Jannatul Ferdush

60 km

85 km

52 km

75 km

0 7

Institution: Bangladesh Bank Exam: Two Combined Bank Recruitment Test - Officer 28.09.2018 ||
Topic: Mathematics (সাধারণ গণিত) Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

Let's call the original speed of the man "S" (in km/h) and the total distance he needs to cover "D" (in km).

According to the given information:

Original time to reach the place = 40 hours.
Reduced speed is 1/15 less than the original speed, so the reduced speed is (S - S/15) km/h, which simplifies to (14S/15) km/h.
When he reduces his speed, he goes 5 km less in the same time (i.e., 40 hours). This means D - 5 = 40 * (14S/15).

We can solve this system of equations to find the values of D and S.

Step 1: Solve equation (3) for D:

D - 5 = 40 * (14S/15) D = 40 * (14S/15) + 5

Step 2: We don't need to solve for S explicitly to find the total distance (D).

Therefore, the total distance covered by the man is 75 km.

So the answer is 75 km.

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