adityagupta32
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A truck travels some distance at a speed of 35 km h in 120 min and the remaining distance at a speed of 48 km h in 90 min. Determine the: (a) total distance covered. (b) average speed over the entire journey​

Respuesta :

mhanifa

Answer:

  • a) 142 km,
  • b) 40.57 km/h

Step-by-step explanation:

Use of formula:

  • speed = distance / time
  • distance = speed × time

a) Find each part of distance and add together. Convert minutes to hours.

  • 35 × (120/60) = 35 × 2 = 70 km,
  • 48 × (90/60) = 48 × 1.5 = 72 km

  • distance = 70 + 72 = 142 km

b) Average speed is:

  • speed = 142 /(2 + 1.5) = 142/3.5 = 40.57 km/h (rounded)
semsee45

Answer:

(a)  142 km

(b)  40.57 km/h (2 d.p.)

Step-by-step explanation:

Part (a)

[tex]\boxed{\sf Distance=Speed \times Time}[/tex]

Given:

  • Speed = 35 km/h
  • Time = 120 min = 2 h

Substitute the given values into the distance formula to find the distance travelled:

[tex]\implies \sf Distance = 35 \times 2 = 70\;km[/tex]

Given:

  • Speed = 48 km/h
  • Time = 90 min = 1.5 h

Substitute the given values into the distance formula to find the distance travelled:

[tex]\implies \sf Distance = 48 \times 1.5 = 72\;km[/tex]

Therefore, the total distance travelled is:

[tex]\implies \sf 70 + 72 = 142 \; km[/tex]

Part (b)

[tex]\boxed{\sf Average\;speed=\dfrac{Total\;distance}{Total\;time}}[/tex]

Given:

  • Total distance = 142 km
  • Total time = 2 + 1.5 = 3.5 h

Substitute the given values into the average speed formula to find the average speed over the entire journey:

[tex]\implies \sf Average\:speed=\dfrac{142}{3.5}=40.57\;km/h\;(2\;d.p.)[/tex]

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