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…
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.
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:
1 only
2 only
Both 1 and 2
Neither 1 nor 2
Solution
X walks at 1.5 km/hr, so in 5 hours X covers 7.5 km. Y covers 1 + 1.25 + 1.5 + 1.75 + 2 = 7.5 km in 5 hours. Together they cover 7.5 + 7.5 = 15 km in 5 hours, so they meet after 5 hours, exactly midway. Both statements are correct.