Solving Rate Problems

Question 1

Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself?

Revolt · Accepted Answer

3r + = 1

Question 2

Talia took the bus from her home to the bank and then walked back to her home along the same route. The bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. To determine the time, x, that it took Talia to walk home, she used the equation 40(0.9 – x) = 5x.

Revolt · Accepted Answer

0.8; 4

Question 3

⇒ 0.7

Revolt · Accepted Answer

0.8

Question 4

It takes 12 minutes to fill an entire bathtub using both the cold and hot water. If just the cold water is used, it takes 18 minutes to fill the bathtub. How long would it take to fill the bathtub if just the hot water were used?

Revolt · Accepted Answer

The equation can be used to solve for the rate, r, for the hot water alone to fill the bathtub.: (12/18) + 12r = 1; The hot water can fill of the tub in 1 minute.: 1/15

Question 5

The hot water can fill of the tub in 1 minute.

Revolt · Accepted Answer

1/15

Question 6

It would take minutes for the hot water to fill the bathtub.

Revolt · Accepted Answer

X 72

Question 7

The time when the two trains reach each other is [___].

Revolt · Accepted Answer

1.25 hours; The time when the two trains reach each other is .: 1.25 hours; The trains are away from the city when they reach each other.: 68.75 miles

Question 8

Talia took the bus from her home to the bank and then walked back to her home along the same route. The round trip took 0.9 hours total. The bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. Use the table to complete these statements.

Revolt · Accepted Answer

✔ 5; The rate of Trip 2 is km/h.: 5; The time of Trip 1 is hours.: 0.9 – x

Solving Rate Problems Answers

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