The efficiency of Anmol is thrice then Vinay therefore Anmol finish the work in 60 days less then Vinay in how many days they finish the work working together?
अनमोल विनय की तुलना में तीन गुना अच्छा कारीगर है इसलिए विनय से 60 दिन काम को पूरा कर लेता है उसी काम को वे साथ मिलकर कितने दिन में पूरा करेंगे
This Question Asked In:
CGL, SSC
Correct Answer :D - 22 1/2
Detailed Text Solution
Given:
Ratio of the efficiency of A and B = 3 : 1
Difference between time taken by B and A = 60 days
Formula Used:
Total Work = Efficiency × Time
Time is inversely proportional to efficiency
Calculation:
Ratio of time taken by A and B
= 1 : 3
Difference of ratio
= 3 − 1 = 2 parts = 60 days
So,
1 part = 30 days
Time taken by A = 1 part = 30 days
Time taken by B = 3 parts = 90 days
One day work of A = 1/30
One day work of B = 1/90
One day work done by A and B together
= 1/30 + 1/90
= (3 + 1) / 90
= 4/90
= 2/45
Time taken to complete the whole work together
= 1 ÷ (2/45)
= 45/2 days
= 22½ days
Final Answer:
They can complete the work together in **22½ days**.
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