Answer:
63.5minutes
Step-by-step explanation:
Let the time it takes the small pipe to fill the tank be x
Let the time it takes the larger pipe to fill the tank be y
If the two pipes can fill a tank in 98 minutes if both are turned on then:
x+y = 98...1
If only one is used and it takes 29 minutes longer for the smaller pipe to fill the tank than the larger pipe
x = 29+y... 2
Substituting equation 2 into 1 to get y we have:
29+y+y = 98
29+2y = 98
2y = 98-29
2y = 69
y = 69/2
y = 34.5minutes
x = 29+34.5
x = 63.5
This means it will take the smaller pipe 63.5minutes to fill the tank
