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iragen [17]
3 years ago
12

A truck has left Amsterdam with a speed of 52 mph. After 5 hours a car has left Amsterdam with a speed of 78 mph. At what distan

ce from Amsterdam will the car catch up with the truck?
Mathematics
2 answers:
torisob [31]3 years ago
7 0
It would be 10 hours but the distance would be 260 mph.
Zina [86]3 years ago
7 0

Answer:

780 miles


Step-by-step explanation:

Before the car started its journey, the truck was already 260 miles ahead of the car.

52 miles per hour for 5 hours is 52*5=260 miles


From then onwards, the car travels at 78mph and truck still 52mph. How much faster is the car?

78-52=26 miles per hour

<em><u>This means the car is catching up on the truck at 26 miles every hour! </u></em>


And we know the distance to catch up is 260 miles.

<em>So at 26 miles every hour, how long would it take the car to catch up 260 miles?</em>

\frac{260}{26}=10 hours.


We want to know how far are they from Amsterdam when the catch up happens. So in 10 hours at 78 miles per hour, the car is  78*10=780 miles from Amsterdam <em>(this is when catch up occurs).</em>


So the distance is 780 miles from Amsterdam

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Need help with this ASAP
Mariana [72]

Answer:

Sequence: 13, 20, 27

Rule: Tn = 7n + 6

Step-by-step explanation:

The 3 other numbers that can form an arithmetic progression is 13, 20, 27...

The nth term of an arithmetic progression is expressed as;

Tn = a + (n-1)d

a is the first term = 13

n is the number of terms

d is the common difference = 20 - 13 = 27 - 20

d = 7

Substitute

Tn = 13 + (n-1)(7)

Tn = 13 + 7n - 7

Tn = 7n+13-7

Tn = 7n + 6

This gives the required rule

5 0
3 years ago
A car requires 22 litres of petrol to travel a distance of 259.6 km.Find
Anon25 [30]

Answer:

Step-by-step explanation:

1. A car requires 22 litres of petrol to travel a distance of 259.6 km

what is the distance that the car can travel on 63 ltr of petrol

22ltr = 259.6km

63ltr=

cross multiply

{63 x 259.6}/22 = 16354.8/22 = 743.4 km

A car requires 22 litres of petrol to travel a distance of 259.6 km, it would require 63 ltr of petrol to travel 743.4km

2. To travel a distance of 2013.2 km

we would need to calculate the amount of fuel

A car requires 22 litres of petrol to travel a distance of 259.6 km

what amount of fuel would it require to travel 2013.2km

22ltr = 259.6km

xltr = 2013.2km

x is the value of petrol to cover 2013.2km

cross multiply

(2013.2 x 22)/259.6

44290.4/259.6 = 170.610169492≈170.6 ltr

A car requires 22 litres of petrol to travel a distance of 259.6 km, it would require 170.6 ltr of petrol to travel 2013.2km

if 1ltr is $1.99

170.6 ltr is (170.6 x 1.99)/1 = $339.494≈$339.5

The price of fuel consumed for 2013.2 km at 1 liter of petrol at $1.99 is $339.5

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3 years ago
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Answer:

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Step-by-step explanation:

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