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Fruits were purchased for Rs 350. 9 boys ate 3/5th of them in 2 hours. 6 boys feel their stomach as full so do not eat further. In how many hours the remaining fruits will get finished by remaining boys?
- a)2 hours
- b)3 hours
- c)5 hours
- d)4 hours
- e)6 hours
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Fruits were purchased for Rs 350. 9 boys ate 3/5th of them in 2 hours....
D) 4 hours Explanation: Remaining boys = 3, remaining fruits = 2/5th Eating is work here. So M1*H1*W2 = M2*H2*W1
9*2*(2/5) = 3*H2*(3/5)
Solve, H2 = 4
9*2*(2/5) = 3*H2*(3/5)
Solve, H2 = 4
Most Upvoted Answer
Fruits were purchased for Rs 350. 9 boys ate 3/5th of them in 2 hours....
Given:
Total cost of fruits = Rs 350
Number of boys = 9
Time taken by 9 boys to eat 3/5th of fruits = 2 hours
Number of boys feeling full = 6
To find:
Time taken by remaining boys to finish the remaining fruits
Solution:
Step 1: Calculate the cost of fruits eaten by 9 boys
Since 9 boys ate 3/5th of the fruits, the remaining 2/5th will be eaten by the remaining boys.
Let the total cost of fruits be x.
3/5th of x = Cost of fruits eaten by 9 boys
=> (3/5)x = Cost of fruits eaten by 9 boys
=> x = (5/3) * Cost of fruits eaten by 9 boys
Step 2: Calculate the cost of fruits eaten by 9 boys
Let the cost of fruits eaten by 9 boys be y.
y/x = 9/5 (since 9 boys ate 3/5th of the fruits)
=> y = (9/5) * x
Step 3: Calculate the cost of fruits eaten by 6 boys
Since 6 boys did not eat further, the remaining 3 boys will eat the remaining fruits.
Let the cost of fruits eaten by 3 boys be z.
y + z = x (since the total cost of fruits is Rs 350)
=> z = x - y
Step 4: Calculate the time taken by 3 boys to eat the remaining fruits
Let the time taken by 3 boys to eat the remaining fruits be t.
Since 9 boys ate 3/5th of the fruits in 2 hours, the rate at which they ate the fruits = (3/5) * x / 2 = (3/10) * x per hour.
Since 6 boys did not eat further, the rate at which 3 boys will eat the remaining fruits = (3/9) * (3/10) * x / t = (1/10) * x / t per hour.
=> z = Rate at which 3 boys will eat the remaining fruits * t
=> (1/10) * x / t = z
=> t = 10z/x
Step 5: Substitute the values of x, y, and z in the above equation
x = (5/3) * y
=> z = x - y = (2/3) * y
=> t = 10z/x = 10 * (2/3) * x / x = 6
Therefore, the time taken by remaining boys to finish the remaining fruits is 6 hours.
Answer: d) 6 hours
Total cost of fruits = Rs 350
Number of boys = 9
Time taken by 9 boys to eat 3/5th of fruits = 2 hours
Number of boys feeling full = 6
To find:
Time taken by remaining boys to finish the remaining fruits
Solution:
Step 1: Calculate the cost of fruits eaten by 9 boys
Since 9 boys ate 3/5th of the fruits, the remaining 2/5th will be eaten by the remaining boys.
Let the total cost of fruits be x.
3/5th of x = Cost of fruits eaten by 9 boys
=> (3/5)x = Cost of fruits eaten by 9 boys
=> x = (5/3) * Cost of fruits eaten by 9 boys
Step 2: Calculate the cost of fruits eaten by 9 boys
Let the cost of fruits eaten by 9 boys be y.
y/x = 9/5 (since 9 boys ate 3/5th of the fruits)
=> y = (9/5) * x
Step 3: Calculate the cost of fruits eaten by 6 boys
Since 6 boys did not eat further, the remaining 3 boys will eat the remaining fruits.
Let the cost of fruits eaten by 3 boys be z.
y + z = x (since the total cost of fruits is Rs 350)
=> z = x - y
Step 4: Calculate the time taken by 3 boys to eat the remaining fruits
Let the time taken by 3 boys to eat the remaining fruits be t.
Since 9 boys ate 3/5th of the fruits in 2 hours, the rate at which they ate the fruits = (3/5) * x / 2 = (3/10) * x per hour.
Since 6 boys did not eat further, the rate at which 3 boys will eat the remaining fruits = (3/9) * (3/10) * x / t = (1/10) * x / t per hour.
=> z = Rate at which 3 boys will eat the remaining fruits * t
=> (1/10) * x / t = z
=> t = 10z/x
Step 5: Substitute the values of x, y, and z in the above equation
x = (5/3) * y
=> z = x - y = (2/3) * y
=> t = 10z/x = 10 * (2/3) * x / x = 6
Therefore, the time taken by remaining boys to finish the remaining fruits is 6 hours.
Answer: d) 6 hours
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Community Answer
Fruits were purchased for Rs 350. 9 boys ate 3/5th of them in 2 hours....
D) 4 hours Explanation: Remaining boys = 3, remaining fruits = 2/5th Eating is work here. So M1*H1*W2 = M2*H2*W1
9*2*(2/5) = 3*H2*(3/5)
Solve, H2 = 4
9*2*(2/5) = 3*H2*(3/5)
Solve, H2 = 4
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