A man is engaged for planting trees for 10 hours. He plants 10 trees in an hour. He takes rest for 30 minutes after every hour. How many trees does he plant in 10 hours?
70
To determine how many trees the man plants in 10 hours, we need to account for the actual working time, excluding rest periods:
- He plants 10 trees per hour.
- After each hour of work, he rests for 30 minutes.
In 10 hours total, the man only works for 7 hours because:
- Each working cycle (1 hour) takes 1.5 hours of real time: 1 hour of work + 0.5 hour of rest.
- Number of complete cycles he can perform in 10 hours = \( \frac{10 \text{ hours}}{1.5 \text{ hours per cycle}} \approx 6.67 \). Since he cannot complete a cycle in less than complete hours, he completes 6 cycles.
- 6 cycles = 6 hours of work + 3 hours of rest = 9 hours in total.
- After 9 hours, he has 1 hour remaining. In this time, he can work for an additional hour without rest, completing 7 total hours of work.
| Working Hours | Trees Planted |
|---|---|
| 7 | 7 x 10 = 70 |
Thus, he plants a total of 70 trees in 10 hours, making option 70 the correct answer.
Similar Questions
What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘-’ are interchanged and ‘×’ and ‘÷’ are interchanged?
6408 x 8 + 27 - 15 ÷ 10 = ?
Select the option in which the numbers share the same relationship as that shared by the given pair of numbers:
4 : 32, 7 : 98
Which two signs should be interchanged to make the following equation correct?
139 + 40 ÷ 5 - 168 × 3 = 283
Which two numbers (not digits) should be interchanged to make the given equation correct?
15 + 5 × 8 - 72 ÷ 4 + 16 × 3 = 101
What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
4 – 5 + 9 ÷ 6 × 2 = ?
Important Questions from Arithmetical Reasoning
What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘-’ are interchanged and ‘×’ and ‘÷’ are interchanged?
6408 x 8 + 27 - 15 ÷ 10 = ?
Select the option in which the numbers share the same relationship as that shared by the given pair of numbers:
4 : 32, 7 : 98
Which two signs should be interchanged to make the following equation correct?
139 + 40 ÷ 5 - 168 × 3 = 283
Which two numbers (not digits) should be interchanged to make the given equation correct?
15 + 5 × 8 - 72 ÷ 4 + 16 × 3 = 101
What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
4 – 5 + 9 ÷ 6 × 2 = ?
