A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone ?
A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone ?
A2 : 5
B2 : 7
C3 : 7
D1 : 5
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Answer is 1 : 5
Explanation:
(A + B)’s 1 day’s work = 120
(B + C)’s 1 day’s work = 130
(C + A)’s 1 day’s work = 140
On adding,2(A + B + C)’s 1 day’s work
= 120+130+140
= 6+4+3120 = 13120
(A + B + C)’s 1 day’s work= 13240
A’s 1 day’s work
= 13240−130= 13−8240
= 5240=148
C’s 1 day’s work
= 13240−120=13−12240=1240
Required ratio = 48 : 240 = 1 : 5
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