Question

-A watch ticks 90 times in 95 seconds and anotherwatch ticks 315 times in 234 seconds. If they arestarted together, how many times will they ticktogether in the first hour?​

Answer 1

Answer:

First Watch: 3410 times

Seconds Watch: 4846 times

(Note: Decimal values are truncated)

Step-by-step explanation:

Watch A :

$95 \: seconds \: = 90 \: ticks \\ 1 \: second \: = \frac{90}{95} ticks \\ 60 \: seconds(1 \: minute) \: = 60 \times \frac{90}{95} ticks \\ 60 \: minutes(1 \: hour) \: = 60 \times 60 \times \frac{90}{95} ticks \\ = 3410 \: ticks$

Watch B:

$234 \: seconds \: = 315 \: ticks \\ 1 \: second \: = \frac{315}{234} ticks \\ 60 \: seconds(1 \: minute) \: = 60 \times \frac{315}{234} ticks \\ 60 \: minutes(1 \: hour) \: = 60 \times 60 \times \frac{315}{234} ticks \\ = 4846 \: ticks$