Question

abdul recently made a 200 mile trip.for the first v30miles, ge traveled at an average speed of 45 miles per hour. his average speed for the next 50 miles was 60mph. abdul averaged 50 mph for final portion of his trip. how long dit it take abdul to compute his journey?​

Answer 1

$\huge \bf \: Given$

Total distance = 200 miles

Speed for first 30 mile = 45 miles/hour

Speed for second 50 miles = 60 miles/hour

Speed at final = 50 miles/hour

$\huge \bf \: To \: find$

Total time for his journey

$\huge \bf \: Solution$

So, We shall first find how much distance remain in fin speed.

$\sf \: final \: distance \: = 200 - (30 + 50)$

$\sf \: final \: distance \: = 200 - 80$

$\sf \: final \: distance \: = 120$

Now,

Finding time of case 1

$\sf \: time = \dfrac{distance \: }{speed}$

$\sf \: time \: = \dfrac{45}{30}$

$\sf \: time \: = \dfrac{2}{3} hour$

Now case 2

$\sf \: time \: = \dfrac{distance}{speed}$

$\sf \: time = \dfrac{50}{60}$

$\sf \: time = \dfrac{5}{6} hour$

Now case 3

$\sf \: time \: = \dfrac{distance}{speed}$

$\sf \: time = \dfrac{120}{50}$

$\sf \: time \: = \dfrac{12}{5} hour$

Total time taken:

= 2/3 hour + 5/6 hour + 12/5 hour

= 20 + 25 + 72 /30 hours

= 117 / 30 hours

= 1.3 hours

Answer 2

Required Answer:-

GiveN:-

• Total distance = 200 miles.
• For the first 30 miles, he travelled at an average speed of 45 mph.
• His average speed for the next 50 miles was 60 mph.He averaged 50 mph for final portion of his trip$.$

To FinD:-

• Total time taken?

Step-wise-Step Calculation:-

Total distance covered = 200 miles.

For the first 30 miles:

• Time taken = Distance / Speed

⇒ Time taken = 30 miles / 45 mph

⇒ Time taken = 2/3 hour

For the next 50 miles:

• Time taken = Distance / Speed

⇒ Time taken = 50 miles / 60 mph

⇒ Time taken = 5/6 hour

Now:

Rest dis. = 200 - (30 + 50) miles = 120 miles.

• Time taken = Distance / Speed

⇒ Time taken = 120 / 50

⇒ Time taken = 12/5 hours.

Hence:-

Total time taken:

= 2/3 hour + 5/6 hour + 12/5 hour

= 20 + 25 + 72 /30 hours

= 117 / 30 hours

= 1.3 hours

That is around 1 hour and 18 minutes taken by Abdul to cover 200 miles during this trip.