Two swimmers, Ankit and Bipul, start swimming from the opposite ends of a swimming pool at the same time. Ankit can cover the length of the pool once in 10 minutes. Bipul can cover the length of the…
Question and options
Two swimmers, Ankit and Bipul, start swimming from the opposite ends of a swimming pool at the same time. Ankit can cover the length of the pool once in 10 minutes. Bipul can cover the length of the pool once in 15 minutes. They swim back and forth for 80 minutes without stopping. The number of times they meet each other is
- 8
- 6
- 7
- 5
Answer and explanation
Correct answer: C - 7
Take a pool length of 30 with speeds 3 and 2. Tracking positions over 80 min, they meet at t = 6, 18, 30 (both at the same end), 42, 54, 66, 78, which is 7 meetings with no overtakes.
Practice for these exams
-
IPMAT Indore
Related question papers
Related exam syllabi
More solved explanations in Arithmetic
- The cost of oil is Rs. 100 per litre. After adulteration using another oil, it costs Rs. 50 per litre. The mixture is sold at Rs. 95 per litre giving a profit of…
- A company contracts to paint three houses of equal size. Working alone, Mr. Brown can paint one house in 6 days, Mr. Black in 8 days and Mr. Blue in 12 days. Mr.…
- Ram and Shyam run a race between points \(A\) and \(B, 5 \mathrm{~km}\) apart. Ram starts at 9 AM from A at a speed of \(5 \mathrm{~km} / \mathrm{hr}\), reaches…
- The monthly incomes of Amit and Bharat are in the ratio 5 : 4, their monthly expenses are in the ratio 19 : 21, and their monthly savings are in the ratio 37 : 18.…
- A man can row \(7\frac{1}{2}\) kmph in still water. If in a river running at 1.5 km an hour, it takes him 50 minutes to row to a place and back, how far is the…