Which of the following is/are correct? 1. They take 5 hours to meet. 2. They meet midway between A and B. Select the correct answer using the code given below:

Passage

A person X from a place A and another person Y from a place B set out at the same time to walk towards each other. The places are separated by a distance of $15$ km. X walks with a uniform speed of $1.5$ km/hr and Y walks with a uniform speed of $1$ km/hr in the first hour, with a uniform speed of $1.25$ km/hr in the second hour and with a uniform speed of $1.5$ km/hr in the third hour and so on.

QUESTION

CSAT

Easy

Maths

Prelims 2021

Which of the following is/are correct?

They take 5 hours to meet.
They meet midway between A and B.

Select the correct answer using the code given below:

Select an option to attempt

Explanation

Distance between places A and B = $15$ km Speed of X = $1.5$ km/hr

So, Distance covered by X in 5 hours = $7.5$ km Speed of Y in 1st hour = $1$ km/hr

So, Distance covered by Y in 1st hour = $1$ km

Similarly, Distance covered by Y in 2nd hour = $1.25$ km

Distance covered by Y in 3rd hour = $1.5$ km Distance covered by Y in 4th hour = $1.75$ km Distance covered by Y in 5th hour = $2$ km

So, the total distance covered by Y in 5 hours = $1 + 1.25 +1.5 +1.75 + 2 = 7.5$ km

Hence, both the given statements are true.

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