Advertisements
Advertisements
प्रश्न
Pari needs 4 hours to complete the work. His friend Yuvan needs 6 hours to complete the same work. How long will it take to complete if they work together?
Advertisements
उत्तर
Pari: time required to complete the work = 4 hrs.
∴ In 1 hr. she will complete = `1/4` of the work.
= `1/4"w"`.
Yuvan: Time required to complete the work = 6 hrs.
∴ In 1 hr. he will complete the = `1/6` of the work
= `1/6"w"`
Working together, in 1 hr. they will complete `"w"/4 + "w"/6` of the work.
= `(6"w" + 4"w")/24`
= `5/12` w
∴ To complete the total work time taken
= `"w"/(5/12"w")`
= `12/5`
= 2.4 hrs. ...[∵ (4) hrs = 4 × 60 = 24 min]
= 2 hrs 24 minutes.
APPEARS IN
संबंधित प्रश्न
Reduce the following rational expression to its lowest form
`(x^2 - 1)/(x^2 + x)`
Reduce the following rational expression to its lowest form
`("p"^2 - 3"p" - 40)/(2"p"^3 - 24"p"^2 + 64"p")`
Simplify `(x + 2)/(4"y") ÷ (x^2 - x - 6)/(12y^2)`
Simplify `(12"t"^2 - 22"t" + 8)/(3"t") ÷ (3"t"^2 + 2"t" - 8)/(2"t"^2 + 4"t")`
If x = `("a"^2 + 3"a" - 4)/(3"a"^2 - 3)` and y = `("a"^2 + 2"a" - 8)/(2"a"^2 - 2"a" - 4)` find the value of x2y–2
Simplify `(4x)/(x^2 - 1) - (x + 1)/(x - 1)`
`(3y - 3)/y ÷ (7y - 7)/(3y^2)` is
Reduce the given Rational expression to its lowest form
`(10x^3 - 25x^2 + 4x - 10)/(-4 - 10x^2)`
Arul, Madan and Ram working together can clean a store in 6 hours. Working alone, Madan takes twice as long to clean the store as Arul does. Ram needs three times as long as Arul does. How long would it take each if they are working alone?
A boat takes 1.6 hours longer to go 36 kms up a river than down the river. If the speed of the water current is 4 km per hr, what is the speed of the boat in still water?
