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QUESTION 5 5.1 It takes 7 gardeners 8 hours to plant 1680 seedlings on a plece of land. Calculate (in hours and minutes) how long it would take 12 gardeners to plant the same seedlings. \( \qquad \) \( \qquad \) \( \qquad \) (2) 52 A car travelling at a constant speed travels 30 km in 15 minutes. How far will it travel in 2 hours 12 minutes if it continues at the same constant speed? \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) 5.3 R600 is invested for 3 years at 5\% p.a. Find the simple interest earned.

Ask by Ortiz Gibson. in South Africa
Feb 25,2025

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Tutor-Verified Answer

Answer

5.1: 4 hours and 40 minutes 5.2: 264 km 5.3: R90

Solution

Below are the step‐by‐step solutions: 5.1 Gardeners and Seedlings • Total work done by 7 gardeners in 8 hours = 7 × 8 = 56 gardener‐hours. • In 56 gardener‐hours, 1680 seedlings are planted. • Seedlings per gardener‐hour = 1680 ÷ 56 = 30 seedlings. • For 12 gardeners to plant 1680 seedlings, required total gardener-hours = 1680 ÷ 30 = 56 hours. • Time for 12 gardeners working together = 56 ÷ 12 ≈ 4.6666 hours. • Converting 0.6666 hours to minutes: 0.6666 × 60 = 40 minutes. • Thus, it takes about 4 hours and 40 minutes. 5.2 Constant Speed Car Travel • A car covers 30 km in 15 minutes. • Speed = 30 km ÷ 15 min = 2 km per minute. • Time to travel: 2 hours 12 minutes = 2 × 60 + 12 = 132 minutes. • Distance = Speed × Time = 2 km/min × 132 min = 264 km. 5.3 Simple Interest Calculation • Principal (P) = R600 • Rate (r) = 5% per annum = 0.05 • Time (t) = 3 years • Simple interest (I) = P × r × t = 600 × 0.05 × 3 = R90 Thus, the answers are: 5.1: 4 hours and 40 minutes 5.2: 264 km 5.3: R90

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Bonus Knowledge

If you're curious about gardening labor, here's a fun fact: the ancient Romans used to have specialized teams for planting various crops, often employing over a dozen workers for large fields. They didn’t have the luxury of modern machinery, so teamwork made all the difference! With around 1,680 seedlings to plant, you can imagine how they relied on coordination to maximize efficiency. Speaking of constant speed in cars, did you know that the world's fastest production car can go from 0 to 60 mph in under two seconds? Just like your car maintaining a steady speed for that distance, these incredible machines demonstrate the importance of reliable performance and engineering. So, whether you're gardening or racing, teamwork and speed are keys to success!

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