Question

13. Ravi, Suman and Sonakshi can do a piece of work in 15, 12 and 20 days respectively. They started the work
together, but Sonakshi left after 2 days. In how many days will the remaining work be completed by Ravi and
Suman?​

Answer 1

Answer:

RAVI AND SUMAN WILL COMPLETE THE REMAINING WORK IN 4 DAYS

Step-by-step explanation:

RAVI CAN DO A PIECE OF WORK IN 15 DAYS

SO, RAVI'S ONE DAY WORK = 1/15

SUMAN CAN DO A PIECE OF WORK IN 12 DAYS

SO, SUMAN'S ONE DAY WORK = 1/12

SONAKSHI CAN DO A PIECE OF WORK IN 20 DAYS

SO, SONAKSHI 'S ONE DAY WORK = 1/20

THEIR WORK TILL 2 DAYS =

1/15 + 1/12 + 1/20 = 12/60 = 1/5

so, THEIR 2 DAYS WORK = 1/5 * 2 = 2/5

REMAINING WORK = 1 - 2/5

= 3/5

RAVI AND SUMAN CAN DO THEIR WORK = REMAINING WORK/THEIR TOGETHER WORK

RAVI AND SUMAN TOGETHER ONE DAY'S WORK = 1/15 + 1/12 = 9/60

SO. RAVI AND SUMAN CAN DO IT IN 3/5/9/60

= 3/5 * 60/9

= 1/4

THEIR ONE DAY'S WORK = 1/4

TOTAL DAYS WORKED = 1 /1/4

= 4 DAYS .

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