Question

a takes a trip which entails travelling 900 m mile by train and 65 miles per hour 300 miles by boat at 25 miles per hour 400 miles by plane at 350 miles per hour and 15 mile by taxi at 25 miles per hour what is the average for the entire journey​

Answer 1

Answer:

Average Speed for entire Journey = 58.54 miles / hr

Step-by-step explanation:

To find Average speed of the entire journey

Total distance travelled = Distance traveled by (Train + Boat + plane + taxi)

∴ Total distance travelled = 900 + 300 + 400 + 15

∴ Total distance travelled D = 1615 miles  .... (1)

Lets calculate the time taken for each journey.

1.  Time taken by train travel Ttr = Distance ÷ Speed

∴ Ttr = 900 ÷ 65  = 13.85 Hrs  .....(2)

2.  Time taken by boat travel Tb = Distance ÷ Speed

∴ Tb = 300 ÷ 25  = 12 Hrs  .....(3)

3.  Time taken by plane travel Tp = Distance ÷ Speed

∴ Tp = 400 ÷ 350  = 1.14 Hrs  .....(4)

4.  Time taken by boat travel Ttx = Distance ÷ Speed

∴ Ttx = 15 ÷ 25  = 0.6 Hrs  .....(5)

From equation 2,3,4 & 5, total time taken for the journey

T = Ttr + Tb + Tp + Ttx

∴ T = 13.85 + 12 + 1.14 + 0.6

∴ T = 27.59 Hrs  .... (6)

Average speed of entire journey S = Total Distance Travelled ÷ Total Time required

∴ S = D ÷ T

∴ S = 1615 ÷ 27.59

∴ S = 58.54 miles/hr

Average Speed for entire Journey = 58.54 miles / hr

Answer 2

a takes a trip which entails travelling 900 m mile by train and 65 miles per hour 300 miles by boat at 25 miles per hour 400 miles by plane at 350 miles per hour and 15 mile by taxi at 25 miles per hour what is the average for the entire journey

total distance covered = 900 + 300 + 400 + 15= 1615 miles

total time taken = 900/65 + 300/25 + 400/350 +15/25

= 180/13 + 12 + 8/7 + 3/5

= (1/(13×7×5)) × (180×35 + 12×455 + 8×65 + 3×91)

= (6300 + 5460 + 520 + 273)/(455)

= 12513/455 hr

average speed =1615/(12513/455)

= (1615 × 455 )/12513

= 58.73 miles per hour