Question

Rueben is six months old and naps twice a day. At 10 a. m. Rueben takes a 50 minute nap which is one-third the length of his 3 p. m. nap. Write and solve an equation to find the length of Ruebens 3 p.m nap.​

Answer 1

Let the required length be x

ATQ

`\\ \sf\longmapsto (1)/(3)x=50`

`\\ \sf\longmapsto (x)/(3)=50`

• Use cross multiplication

`\\ \sf\longmapsto x=50(3)`

`\\ \sf\longmapsto x=150min`

Answer 2

• 150 min or 2.5 hr

Explanation:

Let it be x.

Then we have:

• 50 = 1/3x
• x = 50*3
• x = 150 min = 2.5 hr