Question

1. The total distance a robot moves varies directly with the time ir seconds. The toy robot
moves a total distance of 264 cm in 11 seconds. What is the time in seconds the toy robot
moves when the total distance is 408 cm?

Answer 1

Answer:

17

Step-by-step explanation:

1. $408 \div 264 = 1 \frac{6}{11}$
2. $1 \frac{6}{11} \times 11 = 17$

Answer 2

Since total distance a robot moves varies directly with time, when the total distance is 408 cm, the toy robot takes 17 seconds.

Given the following data:

• Total distance = 264 cm

• Time = 11 seconds

To find time in seconds the toy robot  moves when the total distance is 408 cm, we would use direct proportion:

By direct proportion:

264 cm = 11 seconds

408 cm = X seconds

Cross-multiplying, we have:

$264 \times X = 11 \times 408\\\\264X = 4488\\\\X = \frac{4488}{264}$

X = 17 seconds.

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