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The Eurostar is a line of high-speed trains that provide fast, efficient, and eco-friendly travel all over Europe. Under normal travel conditions, the Eurostar produces fuel emissions of CO2 at a rate of E kilograms per kilometer (E kg/km) when it is traveling at a constant speed of T kilometers per hour (T km/hr).

In terms of the variables E and T, select the expression that represents CO2 fuel emissions produced in 1 hour by the Eurostar traveling at a constant speed, T, under normal traveling conditions, and select the expression that represents the amount of CO2 emitted by the Eurostar traveling at a constant speed, T, under normal traveling conditions, for 200 kilometers.

Make only two selections, one in each column.


QUESTION 1

(I) CO2 emitted in 1 hour

Emission Rate = E kilograms / km

Constant speed = T km / hour

So, Emissions in 1 hour = (E kilograms / km) x (T km / hour )
= ET

ET is the CORRECT answer



QUESTION 2

(II) Emissions in 200 kilometer

Emission Rate = E kilograms / km
So, Emissions in 200 kilometer = 200 x E
= 200E

200E is the CORRECT answer
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emission in 1 hr= ET
emission in 200km=200E
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Under normal travel conditions, the Eurostar produces fuel emissions of CO2 at a rate of E kilograms per kilometer (E kg/km) when it is traveling at a constant speed of T kilometers per hour (T km/hr).

In terms of the variables E and T, select the expression that represents CO2 fuel emissions produced in 1 hour by the Eurostar traveling at a constant speed, T, under normal traveling conditions
E kg/km when travelling at T km/hr
so in 1 hour the CO2 fuel emissions is given by expression - ET Kg

Select the expression that represents the amount of CO2 emitted by the Eurostar traveling at a constant speed, T, under normal traveling conditions, for 200 kilometers.
For 200km, the CO2 fuel emissions = 200E

Answer: ET kg and 200E kg
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IMO
ET
200E


In terms of the variables E and T, select the expression that represents CO2 fuel emissions produced in 1 hour by the Eurostar traveling at a constant speed, T, under normal traveling conditions, and select the expression that represents the amount of CO2 emitted by the Eurostar traveling at a constant speed, T, under normal traveling conditions, for 200 kilometers. Make only two selections, one in each column.


CO2 fuel emissions produced in 1 hour by the Eurostar traveling at a constant speed, T, under normal traveling conditions

Solution:

It would be E*T since we need values kg/hr, we multiple to get rid of the km
ie., E kg/km * T km/hr = gives us E*T kg/hr
Hence ET

Amount of CO2 emitted by the Eurostar traveling at a constant speed, T, under normal traveling conditions, for 200 kilometers

Solution:
1 km emits E kgs
200 kms emits x kgs

Hence we have x = E*200
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Rate of CO2 emitted in kilograms per Kilometer = E(kg/km)
Speed = T Kilometer per hour (Tkm/hr)
Distance travelled in 1 hour= T km
CO2 emitted IN 1 hour= ET (Kg)


Time taken to cover 200km at T speed= 200 / T hours
Fuel emissions of CO2 at a rate of E kilograms per kilometer (E kg/km) when it is traveling at a constant speed of T kilometers per hour (T km/hr).
Fuel emission for 200km at a constant speed T will be 200E (Kg)
CO2 emitted in 200 kilometer =200E (Kg)
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(A) CO-2 emitted in 1 hour

It has been provided that :-

Emission rate is E kgs / km
Speed of Eurostar train is T km/hr


In 1 hour, the total Emission will be= (E kgs/km) * (T km/hr )
= ET

The correct option will be ET



(B) CO-2 Emissions in 200 kilometer

Emission rate is = E kgs / km
Total CO-2 Emissions in 200 kilometer = E * 200
= 200E

[color=#005952]The correct option will be 200E[/color]


(A) CO-2 emitted in 1 hour = ET
(B) CO-2 Emissions in 200 kilometer = 200E
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CO2 emitted in 1 hr = ET
CO2 emitted in 200kilometer = 200E
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Hello Everyone!

OA to this question is posted, it is:

\(CO_{2}\) emitted in 1 hour: \(ET\)
\(CO_{2}\) emitted in 200 kilometer: \(200E\)

The competition mode is off now, the OE will be posted soon.

Thank you all of you for participating. This competition is ended now. I will post the final result tomorrow at approximately 8 am Pacific.

Cheers.
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Official Explanation

The total amount of CO2 emitted equals the number of kilograms per kilometer times the number of kilometers. At a rate of T km/hr, the Eurostar travels T km in 1 hour, so the CO2 emitted in that hour is E (the number of kilograms per kilometer) times T.

The total CO2 emitted in 200 kilometers equals E (the number of kilograms per kilometer) times the number of kilometers, 200.

Answer:
\(CO_{2}\) emitted in 1 hour: \(ET\)
\(CO_{2}\) emitted in 200 kilometer: \(200E\)
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I really dont understand how to do this question at all despite the responses given. Is there a way to use smart numbers here?
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That is a possible way of solving it.

For instance, let
  • E = 1 kg/km (so the train emits 1 kg of CO2 for every kilometer),
  • T = 10 km/hr (so in one hour it goes 10 km).

2. Compute “real” emissions
  1. In one hour at 10 km/hr, it travels 10 km ⇒ emits 10 kg.
  2. In 200 km at 1 kg/km ⇒ emits 200 kg.
3. Plug into each formula
ExpressionWith E=1, T=10ValueMatches?
ET1·1010matches 1-hour (10 kg)
200E200·1200matches 200 km (200 kg)
E/2001/2000.005nope
T/20010/2000.05nope
T/E10/110matches only the 1-hr but wrong symbolically for 200 km

sahildesai360
I really dont understand how to do this question at all despite the responses given. Is there a way to use smart numbers here?
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