Question 1 of 17beginner🔧 ApplyNumerical3 marks

A cricket coach schedules practice sessions that include different activities in a specific ratio — time for warm-up/cool-down: time for batting: 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?

Correct Answer

Given: Ratio: 3 : 4 : 3 : 5 (warm-up/cool-down : batting : bowling : fielding) Total time = 150 minutes

Step 1: Find total parts in the ratio. 3 + 4 + 3 + 5 = 15 parts

Step 2: Find value of one part. 150 ÷ 15 = 10 minutes

Step 3: Calculate time for each activity. Warm-up/cool-down = 3×103 \times 10 = 30 minutes Batting = 4×104 \times 10 = 40 minutes Bowling = 3×103 \times 10 = 30 minutes Fielding = 5×105 \times 10 = 50 minutes

Answer: Warm-up/cool-down: 30 minutes, Batting: 40 minutes, Bowling: 30 minutes, Fielding: 50 minutes

Exercise: Figure it Out (Section 1) | Q: 1 | (Page Page 6)
For More Understanding

Explanation

The chapter explains dividing a quantity in a given ratio. The total parts in the ratio 3:4:3:5 equals 3+4+3+5=15 parts. Each part equals 150÷15=10 minutes. Multiplying each ratio term by 10 gives the time for each activity.

Solution Steps

  1. Step 1: Find total parts in the ratio: 3 + 4 + 3 + 5 = 15 parts

  2. Step 2: Find value of one part: 150 ÷ 15 = 10 minutes

  3. Step 3: Calculate time for each activity: Warm-up/cool-down = 3×103 \times 10 = 30 min, Batting = 4×104 \times 10 = 40 min, Bowling = 3×103 \times 10 = 30 min, Fielding = 5×105 \times 10 = 50 min

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