On a trip a car travels 80 miles in an hour and a half ,then was stopped in traffic for 30 mi , and then travels 100 miles during the next two hours . what was the cars average speed for the 4 hours trip.
Home
/
On a trip a car travels 80 miles in an hour and a half ,then was stopped in traffic for 30
Answer:
45 mile/hr
Step-by-step explanation:
Time for first 80 miles = 1hr + ½hr = 90 min
Wasted time = 30 min
Time fof 100 miles = 2hr = 120 min.
Thus,
Total distance = 80 + 100 mile = 180 miles
Total time = 90 + 30 + 120 min = 4 hr
Average speed = 180/4 = 45 mile/hr
Answer:-
[tex]\red{\bigstar}[/tex] Average speed [tex]\large\leadsto\boxed{\rm\purple{45 \: miles/hour}}[/tex]
• Given:-
[tex]\pink{\dag}[/tex] Distance travelled by car = 80 miles
[tex]\pink{\dag}[/tex] Time taken to cover 80 miles = 1½ hour → 60 + 30 min. = 90 min.
[tex]\pink{\dag}[/tex] Time in traffic = 30 min.
[tex]\pink{\dag}[/tex] Distance travelled after traffic = 100 miles
[tex]\pink{\dag}[/tex] Time taken to cover 100 miles = 2 hours → 120 min.
• To Find:-
Average speed of car for next 4 hours = ?
• Solution:-
We know,
[tex]\boxed{\bf\green{Average \: speed [s] = \dfrac{Total \: Distance [d]}{Total \: time[t]}}}[/tex]
here,
✧ Total Distance = 80 miles + 100 miles
→ 180 miles
✧ Total Time = 90 min. + 30 min. + 120 min.
→ 240 min. [tex]\: \: \: \: \: \: \dashrightarrow\bf{[1hr. = 60 min.]}[/tex]
→ 4 hours.
• Substituting in the Formula:-
✧[tex]\large\boxed{\bf{s= \dfrac{d}{t}}}[/tex]
[tex]\dashrightarrow\sf{s = \dfrac{180}{4}}[/tex]
[tex]\dashrightarrow\large\bf\blue{s = 45 \: miles/hr.}[/tex]
Therefore, the average speed is 45 miles/hr.
[tex]\pink{\bigstar}[/tex] Know More:-
• Average speed is the total distance travelled by the object to the total time elapsed or time taken to cover that distance.
• In order to calculate the average speed of an object, we must know the Distance travelled by that object and the total time taken by the object to travel that distance.
[tex]\red{\dag}[/tex] [tex]\sf{Average \: speed [s] = \dfrac{Total \: Distance [d]}{Total \: time[t]}}[/tex]
[tex]\red{\dag}[/tex] [tex]\sf{Total \: time[t] = \dfrac{Total \: Distance [d]}{Total \: Speed [s]}}[/tex]
[tex]\red{\dag}[/tex] [tex]\sf{Total \: Distance [d] = Total \: Speed [s] \times Total \: time [t]}[/tex]