Circular Track Lap Crossing
XAT 2021 · Quantitative Ability & Data Interpretation · Medium · Arithmetic
Four friends, Ashish, Brian, Chaitra, and Dorothy, decide to jog for 30 minutes inside a stadium with a circular running track that is 200 metres long. The friends run at different speeds. Ashish completes a lap exactly every 60 seconds. Likewise, Brian, Chaitra and Dorothy complete a lap exactly every 1 minute 30 seconds, 40 seconds and 1 minute 20 seconds respectively. The friends begin together at the start line exactly at 4 p.m. What is the total of the numbers of laps the friends would have completed when they next cross the start line together?
- A.
43
- B.
36
- C.
They will never be at the start line together again before 4:30 p.m.
- D.
47
- E.
28
D
Explanation
Lap times: Ashish = 60s, Brian = 90s, Chaitra = 40s, Dorothy = 80s. seconds (12 minutes). 720s is less than 30 minutes (4:12 p.m.). Laps completed by each in 720 seconds: Ashish = Brian = Chaitra = Dorothy = Total laps = .
Related Arithmetic questions
- #1700Salary Hike ComparisonXATQADIMCQHard
- #1702Inverse Proportion Percentage ChangeXATQADIMCQEasy
- #1706Profit, Loss and DiscountXATQADIMCQMedium
- #1707Installments and Compound InterestXATQADIMCQHard
- #1708Triangular Array of ApplesXATQADIMCQMedium
- #2061Medicine Potencies DosageXATQADIMCQMedium
- #2112Income Tax CalculationXATQADISET · 2QMedium
- #2123Combinatorics: Addition Without CarryXATQADIMCQMedium
Practise this under exam conditions
Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.
Solve in the workspace