CBSE Class 8 Mathematics Question 1 of 12

Proportional Reasoning 2 — Question 1

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Question
A cricket coach schedules practice sessions that include different activities in a specific ratio — time for warm-up/cool-down: time for hatting: time for bowling: time for fielding:: 3 : 4 : 3 : 5. If each session is 150 minutes long, how much time is spent on each activity?
Answer

Given, time for warm-up/cool-down : time for batting : Time for bowling : time for fielding :: 3 : 4 : 3 : 5 Total number of ratio parts = 3 + 4 + 3 + 5 = 15 Total time of each session = 150 minutes So, time for warm-up/cool-down = \(\frac {3}{15}\) × 150 = 30 minutes Time for batting = \(\frac {4}{15}\) × 150 = 40 minutes Time for bowling = \(\frac {3}{15}\) × 150 = 30 minutes Time for fielding = \(\frac {5}{15}\) × 150 = 50 minutes Verification: 30 + 40 + 30 + 50 = 150 minutes