Question:
If Nancy can finish the work in 28 days and Ronald can finish the same work in 33 days, then in how many days both can finish the work together?
Correct Answer
15 9/61 days or 15.148 days
Solution And Explanation
Solution
Given,
The number of days to finish the work by Nancy = 28 days
And, the number of days to finish the same work by Ronald = 33 days
Thus, the number of days to finish the work by Nancy and Ronald together = ?
Here,
∵ In 28 days the work done by Nancy = 1
∴ In 1 day, the work done by Nancy = 1/28 part
Similarly,
∵ In 33 days the work done by Ronald = 1
∴ In 1 day, the work done by Ronald = 1/33 part
Now, in 1 day, the work done by Nancy and Ronald together
= In 1 day work done by Nancy + In 1 day the work done by Ronald
= 1/28 + 1/33
= 33 + 28/924
= 61/924 part of work
This means in 1 day, 61/924 part of work is done by Nancy and Ronald working together.
Now, the number of days required to finish 61/924 part of work by Nancy + Ronald working together = 1
∴ the number of days required to finish 1 work by Nancy + Ronald together
= 1/61/924
= 1 × 924/61 = 924/61 days
= 15 9/61 days = or 15.148 days
Thus, Nancy and Ronald working together will finish the work in 15 9/61 days = or 15.148 days Answer
Shortcut Trick to solve the problems based on time and work using formula
Case: If A can finish a work in a days, and B can finish the same work in b days,
then working together the number of days require to finish the work
= a × b/a + b days.
Here given,
The number of days required to finish the work by Nancy = 28 days
And the number of days required to finish the same work by Ronald = 33 days
Thus, the number of days required to finish the work Nancy and Ronald working together = ?
Here a = 28 days
And, b = 33 days
Thus, using formula a × b/a + b days
The number of days required to finish the work when Nancy and Ronald working together
= 28 × 33/28 + 33 days
= 924/61 days
= 15 9/61 days or 15.148
Thus, Nancy and Ronald together will finish the work in 15 9/61 days or 15.148 days Answer
Similar Questions
(1) Richard can finish a work in 17 days. Thomas can finish the same work in 22 days while Charles can finish the work in 27 days. How long will it take to finish it if they work together?
(2) If Donna can finish the work in 39 days and Brandon can finish the same work in 42 days, then in how many days both can finish the work together?
(3) If Karen can finish the work in 24 days and Kevin can finish the same work in 29 days, then in how many days both can finish the work together?
(4) If Annie can finish a work in 2 days and Bobby can finish the same work in 3 days, then in how many days they both can finish the work working together?
(5) Brandon can finish a work in 83 days. Samuel can finish the same work in 88 days while Gregory can finish the work in 93 days. How long will it take to finish it if they work together?
(6) Susan can finish a work in 18 days. Sarah can finish the same work in 23 days while Karen can finish the work in 28 days. How long will it take to finish it if they work together?
(7) If Margaret can finish the work in 29 days and Ryan can finish the same work in 33 days, then in how many days both can finish the work together?
(8) Jason can finish a work in 59 days. Ryan can finish the same work in 64 days while Jacob can finish the work in 69 days. How long will it take to finish it if they work together?
(9) If Robert can finish the work in 7 days and David can finish the same work in 12 days, then in how many days both can finish the work together?
(10) If Donald can finish the work in 35 days and Nicholas can finish the same work in 40 days, then in how many days both can finish the work together?