A Can Lay Railway Track Between Two Given Stations In 16 Days And B C

1.	A Can Lay Railway Track Between Two Given Stations In 16 Days And B Can Do The Same Job In 12 Days. With Help Of C, They Did The Job In 4 Days Only. Then, C Alone Can Do The Job In?
Answer» Work DONE by A in 1 day = 1/16 Work done by B in 1 day = 1/12 Let C takes x days to lay railway track between two GIVEN STATIONS. So work done by C in 1 day = 1/x A, B and C together take 4 days to lay the railway track. So, in 1 day they COMPLETE 14 of the total work together So, 1/16 + 1/12 + 1/x = 1/4 => 1/x = 1/4 - 1/16 - 1/12 => 1/x = 5/48 => x = 48/5. Work done by A in 1 day = 1/16 Work done by B in 1 day = 1/12 Let C takes x days to lay railway track between two given stations. So work done by C in 1 day = 1/x A, B and C together take 4 days to lay the railway track. So, in 1 day they complete 14 of the total work together So, 1/16 + 1/12 + 1/x = 1/4 => 1/x = 1/4 - 1/16 - 1/12 => 1/x = 5/48 => x = 48/5.

A Can Lay Railway Track Between Two Given Stations In 16 Days And B Can Do The Same Job In 12 Days. With Help Of C, They Did The Job In 4 Days Only. Then, C Alone Can Do The Job In?

Answer»

Work DONE by A in 1 day = 1/16

Work done by B in 1 day = 1/12

Let C takes x days to lay railway track between two GIVEN STATIONS.

So work done by C in 1 day = 1/x

A, B and C together take 4 days to lay the railway track.

So, in 1 day they COMPLETE 14 of the total work together

So, 1/16 + 1/12 + 1/x = 1/4

=> 1/x = 1/4 - 1/16 - 1/12

=> 1/x = 5/48

=> x = 48/5.

Work done by A in 1 day = 1/16