Mathematics, 19.07.2019 22:00, persis52

Two trains, old steamy and chug-a-lug, are 290 miles apart from each other and headed for the same station. they started toward the station at 8: 00 a. m. if they are both set to arrive at 10: 30 a. m. and old steamy is going 6.14 mph, how fast must chug-a-lug be going?

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answered: alexiannaa

122.14 mph.

Step-by-step explanation:

Given : Two trains,Old Steamy and Chug-a-Lug,are 290 miles apart from each other and headed for the same station. They started toward the station at 8:00 a.m.

To Find: If they are both set to arrive at 10:30 a.m. and Old Steamy is going 6.14 mph, how fast must Chug-a-Lug be going?

Solution :

Speed of Old Steamy train = 6.14 mph

Train started at 8 a.m. and arrived at 10.30 a.m.

So, time of travel = 2.5 hours

So, distance traveled by Old Steamy train = $Speed\times time$

= $6.14 \times 2.5$

= 15.35miles

Since the total distance traveled by train Old Steamy is 15. 35 miles. This means Old steamy was standing before the Chug-a-Lug i.e. Chug-a-Lug was 290 miles behind the Old steamy

Distance traveled by Chug-a-Lug is distance traveled by Old Steamy to the station plus the distance between the trains

Now, Distance traveled by Chug-a-Lug = 15.35+290 miles

= 305.35

Since we are given that they started and ended at the same time . So, the the time of travel for both the trains will be same = 2.5 hours

So, speed of Chug-a-Lug = $\frac{Distance }{Time}$

= $\frac{305.35}{2.5}$

= 122.14

Hence the speed of the Chug-a-Lug train is 122.14 mph.

answered: Guest

i believe the answer is c.

Me, it’s the last question and i want to test out of this unit

answered: Guest

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )
Ineed as soon as possible ! what is the approximate length of the minor arc de

Ineed as soon as possible ! what is the approximate length of the minor arc de

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Two trains, old steamy and chug-a-lug, are 290 miles apart from each other and headed for the same s...