The equation formed to find the number of hours taken by Bob and Nina to make 60 leashes is [tex]\bold{(3.5\times H)+(4\times H)=60}[/tex].
And the time taken by Bob and Nina to make 60 leashes is 8 hours.
Given information:
The time taken by Bob to make 7 leashes is 2 hour.
The time taken by Nina to make 4 leashes is 1 hour.
Let, the number of hours taken by Bob and Nina to make 60 leashes is [tex]{H}[/tex].
Now, find the speed of both, Bob and Nina to make dog leashes per hour.
Speed of [tex]\bold{{Bob}} = 3.5 \; \text{per hour}[/tex]
Speed of [tex]\bold{Nina}=4\; \text{per hour}[/tex]
Hence, the equation formed to find the number of hours taken by Bob and Nina to make 60 leashes will be,
[tex]\bold{(3.5\times H)+(4\times H)=60}[/tex]
Now, solve the above equation to find the time taken by Bob and Nina to make 60 leashes.
[tex]3.5\times H+4\times H=60\\7.5\times H=60\\H=60/7.5\\H=8[/tex]
Hence, the time taken by Bob and Nina to make 60 leashes is 8 hours.
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