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Select the correct answerRamesh travels by bus from city A to city B at an average speed of 44 km/hr. Suresh travels by taxi from city A to city B at an average speed of 77 km/hr and takes 6 hours lesser than time taken by Ramesh. What is the distance (in km) between the two cities?Options₹ 726₹ 560₹ 672₹ 616

Question

Select the correct answerRamesh travels by bus from city A to city B at an average speed of 44 km/hr. Suresh travels by taxi from city A to city B at an average speed of 77 km/hr and takes 6 hours lesser than time taken by Ramesh. What is the distance (in km) between the two cities?Options₹ 726₹ 560₹ 672₹ 616

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Solution

Let's solve this step by step:

Step 1: Let's denote the time taken by Ramesh to travel from city A to city B as 't' hours. Therefore, the time taken by Suresh would be 't-6' hours.

Step 2: We know that distance = speed * time. Therefore, the distance travelled by both Ramesh and Suresh would be the same.

So, we can set up the equation as follows:

44t = 77(t-6)

Step 3: Solve the equation:

44t = 77t - 462

Step 4: Rearrange the equation:

33t = 462

Step 5: Solve for 't':

t = 462 / 33 = 14 hours

Step 6: Now that we have the time taken by Ramesh, we can find the distance between the two cities by substituting 't' in the distance formula:

Distance = Speed * Time = 44 * 14 = 616 km

So, the correct answer is ₹ 616.

This problem has been solved

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