The cars will be 330 miles apart after three hours (1.00 pm) from 10.00 am (starting time).
Step-by-step explanation:
Data given for first car,
Rate (speed of car 1) = 60 miles/hour
Distance can be calculated by considering ‘X’ for time as,
[tex]\text {rate}=\frac{\text {distance}}{\text {time}}[/tex]
[tex]distance of first car = rate \times time =60 \times X miles[/tex]
Similarly, data given for first car
Rate (speed of car 2) = 50 miles/hour
[tex]distance of second car = rate \times time =50 \times X miles[/tex]
Need to calculate at what time both the cars are 330 miles apart, so the equation would be,
Distance of first car + distance of second car = 330 miles
60 X + 50 X = 330
110 X = 330
[tex]X=\frac{330}{110}=3 \text { hours }[/tex]
Already given that both the cars leave at 10.00 am, so the time would be 10 am + 3 hours = 1.00 pm.
Hence, it takes three hours for the cars to get 330 miles apart.
