A motorist makes a journey of 240 km from Singapore to Malacca to visit his inlaws at an average speed of x kilometers.

On his return journey, his average speed is reduced by 6km/hour due to traffic.

If the return journey takes 20 minutes longer, form an equation with x and solve it to find the average speed of each journey, giving your answer correct to two decimal places.

So: 240/x is the number of hours taken for the first journey.

240/x-6 is the time it takes for the return journey.

What do I do next? Please help!

and you know that the return journey takes 1/3 hour longer than the one going.

240/x + 1/3 = 240/(x-6)
x = 3(1+±481) = 68.80

check:
240/62.80 = 3.82
240/68.80 = 3.49 = 3.82
difference: .33 hr = 20 min

you got the setup right, but didn't take that final step. Be sure to analyze everything they tell you, and the solution will emerge.

oops. typo that's

3(1±√481)

thanks!

dhek bhai phely minutes ko convert kro phir jo answer aye us ko 240se add kr k equation se agey solve krlo

galat galat ammar galat

kk thanks

To solve the problem, you need to set up an equation using the given information. Let's define the variables:

d = distance traveled (240 km)
s = average speed for the first journey (x km/hour)
t1 = time taken for the first journey (in hours)
t2 = time taken for the return journey (in hours)

We know that the time taken for a journey is equal to the distance traveled divided by the average speed:

t1 = d / s (for the first journey)
t2 = d / (s - 6) (for the return journey)

We are also given that the return journey takes 20 minutes longer than the first journey. Since 20 minutes is equal to 1/3 of an hour, we can express this information as:

t2 = t1 + 1/3

Now we can substitute the expressions for t1 and t2 from above into this equation:

d / (s - 6) = (d / s) + 1/3

Now, let's solve this equation for x:

240 / (x - 6) = 240 / x + 1/3

To eliminate the fractions, we can cross multiply:

240x = 240(x - 6) + (1/3)(x)(x - 6)

Now, simplify the equation by distributing the terms:

240x = 240x - 1440 + (1/3)(x^2 - 6x)

Expand the right side:

240x = 240x - 1440 + (x^2 - 6x)/3

Multiply every term by 3 to eliminate the fraction:

720x = 720x - 4320 + x^2 - 6x

Rearrange the equation:

0 = x^2 - 6x - 4320

Now, we have a quadratic equation. To further simplify and solve for x, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

For our equation, a = 1, b = -6, and c = -4320. Plugging these values into the quadratic formula gives us:

x = (-(-6) ± √((-6)^2 - 4(1)(-4320))) / (2(1))

Simplifying further:

x = (6 ± √(36 + 17280)) / 2

x = (6 ± √(17316)) / 2

x = (6 ± 131.63) / 2

Now, we have two possible solutions for x:

x = (6 + 131.63) / 2 = 137.63 / 2 = 68.82 (rounded to two decimal places)

x = (6 - 131.63) / 2 = -125.63 / 2 = -62.82 (rounded to two decimal places)

Since speed cannot be negative, we can discard the second solution. Therefore, the average speed for the first journey is approximately 68.82 km/hour.