Answer:
(a) 1.4 hours or 1 hour 24 minutes.
(b) 15 miles.
(c) (5/6)t miles.
(d) 70 - (5/6 t miles.
Step-by-step explanation:
(a) speed = distance / time
50 = 70 / t
t = 70/50
t = 7/5
t = 1.4 hours.
(b) 18 minutes = 18/60 = 0.3 hours.
50 = distance / 0.3
distance = 50 * 0.3
= 15 miles.
(c). 50 = d / (t/60)
50 = 60d / t
60d = 50t
d = (5/6) t miles.
(d) Number of miles remaining after t minutes = 70 - (5/6) t miles.
The required answer for the given questions are -
(a) 1.4 hours or 1 hour 24 minutes.
(b) 15 miles.
(c) (5/6)t miles.
(d) 70 - (5/6) t miles.
Speed is defined as the magnitude of change of position in unit time.
Mathematically,
Speed = Distance/time
Now it given is given that,
Distance to be travelled by Millers = 70 miles
Driving speed = 50 mph
(a) Time taken by Pat to make the trip = Distance to be travelled/Speed
⇒Time taken by Pat to make the trip = 70/50 = 1.4 hours or 1hour 24 minutes
(b) Distance travelled in 18 minutes,
Since 1 hour = 60 minutes
⇒ 18 minutes = 1/60 * 18 = 0.3 hour
⇒ Distance travelled in 18 minutes = Speed x time
⇒ Distance travelled in 18 minutes = 50 x 0.3
⇒ Distance travelled in 18 minutes = 15 miles
(c) expression for the number of miles they will cover in t minutes of driving
Number of mile = Speed x time
⇒ Number of mile = 50*(t/60) [since, 1 hour = 60 minutes]
⇒ Number of mile = (5/6)t
(d) After t minutes of driving,miles remain to be covered
= Distance to be travelled - Distance travelled in t minutes
= 70 - (5/6)t
So the required answers are-
(a) 1.4 hours or 1 hour 24 minutes.
(b) 15 miles.
(c) (5/6)t miles.
(d) 70 - (5/6) t miles.
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