Question 19 of 22intermediate🔧 ApplyNumerical3 marks

A tractor can plough the same area of a field 4 times faster than a pair of oxen. A farmer wants to plough his 20-acre field. A pair of oxen takes 6 hours to plough an acre of land. How much time would it take if the farmer used a pair of oxen to plough the field? How much time would it take him if he decides to use a tractor instead?

Correct Answer

Given:

  • Field size = 20 acres
  • Time for oxen to plough 1 acre = 6 hours
  • Tractor is 4 times faster than oxen

Solution for pair of oxen: Time = 20×620 \times 6 = 120 hours

Solution for tractor: Time = 120 ÷ 4 = 30 hours

Answer:

  • Time using pair of oxen: 120 hours
  • Time using tractor: 30 hours
Exercise: Figure it Out (Section 4) | Q: 11 | (Page Page 19)
For More Understanding

Explanation

First calculate time for oxen to plough 20 acres. Since tractor is 4 times faster, divide the oxen time by 4.

Solution Steps

  1. Step 1: Time for oxen to plough 1 acre = 6 hours

  2. Step 2: Time for oxen to plough 20 acres = 20×620 \times 6 = 120 hours

  3. Step 3: Tractor is 4 times faster than oxen

  4. Step 4: Time for tractor = 120 ÷ 4 = 30 hours

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